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SAHA, L. M., BHARTI, L. M., MOHANTY, R. K.. (1389). STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS. , 34(1), 1-12. doi: 10.22099/ijsts.2010.2160
L. M. SAHA; L. M. BHARTI; R. K. MOHANTY. "STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS". , 34, 1, 1389, 1-12. doi: 10.22099/ijsts.2010.2160
SAHA, L. M., BHARTI, L. M., MOHANTY, R. K.. (1389). 'STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS', , 34(1), pp. 1-12. doi: 10.22099/ijsts.2010.2160
SAHA, L. M., BHARTI, L. M., MOHANTY, R. K.. STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS. , 1389; 34(1): 1-12. doi: 10.22099/ijsts.2010.2160

STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS

Iranian Journal of Science
مقاله 1، دوره 34، شماره 1، اردیبهشت 2010، صفحه 1-12    اصل مقاله (305.09 K)
شناسه دیجیتال (DOI): 10.22099/ijsts.2010.2160
نویسندگان
L. M. SAHA* 1؛ L. M. BHARTI2؛ R. K. MOHANTY3
1Mathematical Sciences Foundation, N-91, Greater Kailash I, New Delhi-110048, India
2Shyam Lal College (Evening), University of Delhi, Delhi-110032, India
3Deparment of Mathematics, University of Delhi, Delhi-110007, India
چکیده
Bifurcations leading to chaos have been investigated in a number of one dimensional dynamical
systems by varying the parameters incorporated within the systems. The property hyperbolicity has been studied in detail in each case which has significant characteristic behaviours for regular and chaotic evolutions. In the process, the calculations for invariant set have also been carried out. A broad analysis of bifurcations and hyperbolicity provide some interesting results. The fractal property, self-similarity, has also been observed for chaotic regions within the bifurcation diagram. The results of numerical calculations assume significant values.
کلیدواژه‌ها
Hyperbolicity؛ invariant set؛ chaos؛ nonlinearity
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